To find the distance traveled by an object with constant acceleration, we need to know the initial velocity, time, and acceleration. In this case, the acceleration is given as 10 m/s^2, but we don't have information about the initial velocity or time. Therefore, we can't determine the exact distance traveled.
However, if we assume the object starts from rest, we can make an estimation. Let's say the total distance traveled is represented by "d." In that case, the first third of the journey would be d/3.
If we consider the object started from rest, we can use the kinematic equation:
d = (1/2)at^2,
where: d is the total distance traveled, a is the constant acceleration (10 m/s^2), and t is the time.
If the object traveled one-third of the distance, then:
d/3 = (1/2)a(t/3)^2.
Simplifying the equation, we get:
d = (2/9)at^2.
Since we still don't have information about time, we can't find the exact distance traveled in one-third of the journey.